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Finding the Third Proportional to 86,546 and 130,755

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Solution

The third proportional to 86,546 and 130,755 is: 197,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,546 : 130,755 = 130,755 : x
  2. Step 2: Convert to fraction form
    86,546/130,755 = 130,755/x
  3. Step 3: Cross multiply
    86,546x = 130,755 × 130,755
  4. Step 4: Simplify right side
    86,546x = 17,096,870,025
  5. Step 5: Solve for x
    x = 17,096,870,025/86,546
  6. Step 6: Final answer
    x = 197,546.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.